![[Search]](/static/images/search.gif){kind=small}
![[A-Z Index]](/static/images/az.gif){kind=small}
![[Contact]](/static/images/contact.gif){kind=small}
![[University of Cambridge]](/static/images/identifier2.gif){kind=small}
![[Talks.cam]](/static/images/talkslogosmall.gif)
Friday 27 March 2009, 15:30-16:30
New discretization of complex analysis and completely integrable systems
- 👤 Speaker: Novikov, SP (Maryland)
- 📅 Date & Time: Friday 27 March 2009, 15:30 - 16:30
- 📍 Venue: Seminar Room 1 Newton Institute
Abstract
New Discretization of Complex Analysis was developed recently by the present author and I.Dynnikov. Our discretization has nothing to do with geometric discretization of conformal maps. We consider complex analysis as a theory of linear Cauchy-Riemann Operator. It is based on the Equilateral Triangle Lattice in the Euclidean Plane (the classical one was based on the quadrilateral lattice). This approach allows us to borrow some crucial ideas from the modern theory of Completely Integrable Systems missing in the case of quadrilateral lattice. New phenomena appear in the case of Equilateral Lattice in Hyperbolic (Lobachevski) Plane: geometric objects became ’’stochastic’’ requiring to use technic of Symbolic Dynamics. New difficulties appear leading to the unsolved plroblems.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
Included in Lists
- All CMS events
- bld31
- dh539
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 1 Newton Institute
Note: Ex-directory lists are not shown.